66568349232000 has 7168 divisors, whose sum is σ = 336594250137600. Its totient is φ = 12671023104000.

The previous prime is 66568349231987. The next prime is 66568349232013. The reversal of 66568349232000 is 23294386566.

It is a happy number.

66568349232000 is a `hidden beast` number, since 6 + 6 + 5 + 68 + 349 + 232 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66568349231987) and next prime (66568349232013).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 802028303959 + ... + 802028304041.

It is an arithmetic number, because the mean of its divisors is an integer number (46957903200).

Almost surely, 2^{66568349232000} is an apocalyptic number.

66568349232000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66568349232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168297125068800).

66568349232000 is an abundant number, since it is smaller than the sum of its proper divisors (270025900905600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66568349232000 is a wasteful number, since it uses less digits than its factorization.

66568349232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 66568349232000 in words is "sixty-six trillion, five hundred sixty-eight billion, three hundred forty-nine million, two hundred thirty-two thousand".